(x^3/6)-(2x^-4/5)

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Solution for (x^3/6)-(2x^-4/5) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(x^3)/6-((2*x^-4)/5) = 0

(x^3)/6+(-2/5)*x^-4 = 0

1/6*x^3-2/5*x^-4 = 0

x^3*(1/6-2/5*x^-7) = 0

-2/5*x^-7 = -1/6 // : -2/5

x^-7 = 5/12

-7 < 0

1/(x^7) = 5/12 // * x^7

1 = 5/12*x^7 // : 5/12

12/5 = x^7

x^7 = 12/5 // ^ 1/7

x = (12/5)^(1/7)

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { 0} 

x = (12/5)^(1/7)

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